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Theorem links-modmeta-write3

⊦ ino ∈ dirs ∧ dirs[ino] = mkdir(m0, md0, n1, n2, entries) ∧ ino ≠ ino1 ∧ ino ≠ ino2 → links(ino0, dirs[ino1, ad][ino2, ad0][ino, mkdir(m, md, n, n0, entries)]) = links(ino0, dirs[ino1, ad][ino2, ad0])

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: cache-asm, afs-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: links-modmeta-write2,
Used spec theorems:
- Used simplifier rules:
  - heap/dir-heap/in-write
  - heap/dir-heap/at-write